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larisa86 [58]
3 years ago
13

Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after

3 years?
Mathematics
2 answers:
Temka [501]3 years ago
7 0

Answer:

615

Step-by-step explanation:

4100*3 then you have to multiply by the rate in decimal form which is 0.05!

madreJ [45]3 years ago
5 0

Answer:

a.

Step-by-step explanation: if i’m wrong lmk

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Help me please<br> Idk what to do
Ber [7]

Answer:

x=36

Step-by-step explanation:

First rewrite equation then multiply each side by 36. 9x-36=4x+144.

then move the variable 9x-4x+36=144. Next subtract 9x and 4x ...5x=144+36.... 5x=180. Lastly you divide 180÷5 this your answer x=36

4 0
2 years ago
The number 1 through 7 are written in separate slips of paper,and the slips are placed into a box.Then,4 of these slips are draw
Bad White [126]

Answer:

0.0011904

Step-by-step explanation:

Given that:

Number of slips = 7

Sample space = (1, 2, 3, 3, 5, 6, 7)

Numbwe of slips drawn = 4

Probability = required outcome / Total possible outcomes

Note ; selection is without replacement ;

P(drawing 1) = 1 /7

P(drawing 2) = 1 /6

P(drawing 3) = 1/5

P(drawing 4) = 1/4

1/7 * 1/6 * 1/5 * 1/4 = 0.0011904

6 0
2 years ago
PLZZZZZZZZZZZZZZZZ HELP
Slav-nsk [51]

Answer:

The first box in the girl row is 18, the second one in the boy row is 8, and the bottom one is also 18.

Step-by-step explanation:

To get 81 to 9, you have to divide by 9, which means you have to do the same to 72. You get the ration 9 to 8, 9 being girls and 8 being guys. Then to get from 8 guys to 16, you have to multiply by 2, which means you do the same to 9 and get the answer of 18 girls. Hope this helps :)

5 0
3 years ago
Many people feel that the drying of pavement marking paint is much too slow. You spend several days looking for the fastest dryi
slavikrds [6]

Answer:

21

Step-by-step explanation:

Using<em> Simple Random Sampling</em>, we can estimate the sample size by the formula

\bf n=\frac{Z^2S^2}{e^2}

where  

n = sample size

Z = the z-score corresponding to the confidence level 99.5%

S = the assumed standard deviation = 3 seconds

e = margin of error = 2 seconds

<em>It is worth noticing that the higher the confidence level, the larger the sample should be. </em>

The z-score corresponding to a confidence level of 99.5% can be obtained either with a table or the computer and equals

Z = 3.023

Replacing the values in our formula

\bf n=\frac{(3.023)^23^2}{2^2}=20.5616\approx 21

So the size of the sample should be at least 21.

7 0
3 years ago
Your friend asks if you would like to play a game of chance that uses a deck of cards and costs $1 to play. They say that if you
gtnhenbr [62]

Answer:

Expected value = 40/26 = 1.54 approximately

The player expects to win on average about $1.54 per game.

The positive expected value means it's a good idea to play the game.

============================================================

Further Explanation:

Let's label the three scenarios like so

  • scenario A: selecting a black card
  • scenario B: selecting a red card that is less than 5
  • scenario C: selecting anything that doesn't fit with the previous scenarios

The probability of scenario A happening is 1/2 because half the cards are black. Or you can notice that there are 26 black cards (13 spade + 13 club) out of 52 total, so 26/52 = 1/2. The net pay off for scenario A is 2-1 = 1 dollar because we have to account for the price to play the game.

-----------------

Now onto scenario B.

The cards that are less than five are: {A, 2, 3, 4}. I'm considering aces to be smaller than 2. There are 2 sets of these values to account for the two red suits (hearts and diamonds), meaning there are 4*2 = 8 such cards out of 52 total. Then note that 8/52 = 2/13. The probability of winning $10 is 2/13. Though the net pay off here is 10-1 = 9 dollars to account for the cost to play the game.

So far the fractions we found for scenarios A and B were: 1/2 and 2/13

Let's get each fraction to the same denominator

  • 1/2 = 13/26
  • 2/13 = 4/26

Then add them up

13/26 + 4/26 = 17/26

Next, subtract the value from 1

1 - (17/26) = 26/26 - 17/26 = 9/26

The fraction 9/26 represents the chances of getting anything other than scenario A or scenario B. The net pay off here is -1 to indicate you lose one dollar.

-----------------------------------

Here's a table to organize everything so far

\begin{array}{|c|c|c|}\cline{1-3}\text{Scenario} & \text{Probability} & \text{Net Payoff}\\ \cline{1-3}\text{A} & 1/2 & 1\\ \cline{1-3}\text{B} & 2/13 & 9\\ \cline{1-3}\text{C} & 9/26 & -1\\ \cline{1-3}\end{array}

What we do from here is multiply each probability with the corresponding net payoff. I'll write the results in the fourth column as shown below

\begin{array}{|c|c|c|c|}\cline{1-4}\text{Scenario} & \text{Probability} & \text{Net Payoff} & \text{Probability * Payoff}\\ \cline{1-4}\text{A} & 1/2 & 1 & 1/2\\ \cline{1-4}\text{B} & 2/13 & 9 & 18/13\\ \cline{1-4}\text{C} & 9/26 & -1 & -9/26\\ \cline{1-4}\end{array}

Then we add up the results of that fourth column to compute the expected value.

(1/2) + (18/13) + (-9/26)

13/26 + 36/26 - 9/26

(13+36-9)/26

40/26

1.538 approximately

This value rounds to 1.54

The expected value for the player is 1.54 which means they expect to win, on average, about $1.54 per game.

Therefore, this game is tilted in favor of the player and it's a good decision to play the game.

If the expected value was negative, then the player would lose money on average and the game wouldn't be a good idea to play (though the card dealer would be happy).

Having an expected value of 0 would indicate a mathematically fair game, as no side gains money nor do they lose money on average.

7 0
2 years ago
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